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基于Bézier曲线的柔性曲面装配变动分析（英文）.docx

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基于Bézier曲线的柔性曲面装配变动分析（英文） Abstract Inthispaper,wepresentamethodforanalyzingassemblyvariationusingBéziercurve-basedflexiblesurface.Thismethodiscapableofcapturingthecomplexgeometricvariationsthatoccurduringtheassemblyprocess.ThemainideaistouseBéziercurvestodescribetheshapeofeachpartandthenusethemtoconstructtheflexiblesurface.Thevariationintheassemblycanthenbeanalyzedbymeasuringthedeformationofthesurfacecausedbythevariationinpartshapes.TheresultingdeformationisexpressedasafunctionofthecontrolpointsoftheBéziercurves.Simulationresultsdemonstratethattheproposedmethodiseffectiveincapturingbothlargeandsmallvariationsintheassemblyprocess. Introduction Assemblyvariationanalysisisanimportanttopicinmanufacturingengineering.Duringtheassemblyprocess,partsareoftensubjectedtoavarietyofgeometricvariations,whichcancauseproblemssuchasinterference,misalignment,andexcessivestress.Therefore,itisimportanttodevelopmethodsforanalyzingandreducingthesevariations. Onecommonapproachforanalyzingassemblyvariationistouserigidbodytransformationmatrices.However,thismethodislimitedtosmallassemblyvariationsandcannotcapturethecomplexgeometricchangesthatoccurduringtheassemblyprocess.Anotherapproachistousefiniteelementmethods,whichcancapturetheflexibilityoftheparts,butarecomputationallyexpensiveanddifficulttosetup. Inthispaper,weproposeamethodforanalyzingassemblyvariationusingBéziercurve-basedflexiblesurface.Béziercurvesarewidelyusedincomputergraphicsandhaveseveraladvantages,suchaseasymanipulationandefficientalgorithmicimplementation.ByusingBéziercurvestodescribetheshapeofeachpartandconstructingtheflexiblesurface,wecancapturethecomplexgeometricvariationsthatoccurduringtheassemblyprocess. Methodology Theproposedmethodconsistsofthefollowingsteps: Step1:ConstructtheBéziercurve-basedflexiblesurface Foreachpart,weconstructaBéziercurvethatdescribesitsshape.Thecontrolpointsofthecurvearedeterminedbyfittingthecurvetothepartgeometry.WethenusethesecurvestoconstructaflexiblesurfaceusingtheCoonspatchtechnique. Step2: